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Finding the Third Proportional to 261,969 and 394,250

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Solution

The third proportional to 261,969 and 394,250 is: 593,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,969 : 394,250 = 394,250 : x
  2. Step 2: Convert to fraction form
    261,969/394,250 = 394,250/x
  3. Step 3: Cross multiply
    261,969x = 394,250 × 394,250
  4. Step 4: Simplify right side
    261,969x = 155,433,062,500
  5. Step 5: Solve for x
    x = 155,433,062,500/261,969
  6. Step 6: Final answer
    x = 593,326.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.